Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance

	Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance
	Hong, JL; Liu, Y
	2000-09-01
发表期刊	COMPUTER PHYSICS COMMUNICATIONS
ISSN	0010-4655
卷号	131 期号:1-2 页码:86-94
摘要	If X(t) is a fundamental matrix of the linear nonautonomous Hamiltonian system dx/dt = J A(t)x() with X(0)(T)JX(0) = J, then X(t)(T)JX(t) = J for every t is an element of R. This symplectic property is called the weak invariance of the system (). In this paper we first set up some numerical schemes preserving the weak invariance of the system (*) for numerical computation of the fundamental matrix X(t) with X(0)(T)JX(0) = J. Based on the above schemes, we give an algorithm of numerically periodic and numerically quasiperiodic solutions for the nonautonomous Hamiltonian system by using the exponential dichotomy of linear differential systems. (C) 2000 Elsevier Science B.V. All rights reserved.
关键词	weak invariances symplectic schemes numerical quasiperiodic solutions exponential dichotomies nonautonomous Hamiltonian systems
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000089175500008
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15704
专题	计算数学与科学工程计算研究所
通讯作者	Hong, JL
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Hong, JL,Liu, Y. Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance[J]. COMPUTER PHYSICS COMMUNICATIONS,2000,131(1-2):86-94.
APA	Hong, JL,&Liu, Y.(2000).Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance.COMPUTER PHYSICS COMMUNICATIONS,131(1-2),86-94.
MLA	Hong, JL,et al."Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance".COMPUTER PHYSICS COMMUNICATIONS 131.1-2(2000):86-94.